Time like geodesics in three-dimensional rotating Hořava AdS black hole

Abstract

We study the motion of particles in the background of a three-dimensional rotating Hořava AdS black hole that corresponds to a Lorentz-violating version of the BTZ black hole and we analyze the effect of the breaking of Lorentz invariance in such motion by solving analytically the geodesic equations. Mainly, we find that Lorentz-violating version of the BTZ black hole posses a more rich geodesic structure, where the planetary and circular orbits are allowed, which does not occurs in the BTZ background.

Version accepted for publication in PRD

References in corpus (6)

• Quantum Gravity at a Lifshitz Point
• Rotating black holes in three-dimensional Hořava gravity
• Lower-dimensional Horava-Lifshitz gravity
• Quasinormal modes of three-dimensional rotating Hořava AdS black hole and the approach to thermal equilibrium
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole
• Collision of particles near a three-dimensional rotating Hořava AdS black hole

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